3. The hypothetical probabilities of types of weather in two neighborhoods in San Francisco on an average day in the month of August are shown below: A. Compute the following probabilities (show work): Assume the Weather in the Two Neighborhoods are Independent B. Sunset neighborhood 40% chance of sunshine 40% chance of fog cover 20% chance of rain C. Mission Neighborhood 60% chance of sunshine 15% chance of fog cover 25% chance of rain P (fog in the Sunset and sunshine in the Mission) P (Rain in the Sunset for three consecutive days) *assume independence P (fog in the Sunset or fog in the Mission)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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I need help with this problem. I am not sure how to use the rules of probability. ( Help is appreciated )

3. The hypothetical probabilities of types of weather in two neighborhoods in San
Francisco on an average day in the month of August are shown below:
A.
Compute the following probabilities (show work):
Assume the Weather in the Two Neighborhoods are Independent
P (fog in the Sunset and sunshine in the Mission)
B.
C.
Sunset neighborhood
40% chance of sunshine
40% chance of fog cover
20% chance of rain
D.
Mission Neighborhood
60% chance of sunshine
15% chance of fog cover
25% chance of rain
P (Rain in the Sunset for three consecutive days) *assume independence
P (fog in the Sunset or fog in the Mission)
P (Fog in the Mission given that it is not Raining in the Mission)
Transcribed Image Text:3. The hypothetical probabilities of types of weather in two neighborhoods in San Francisco on an average day in the month of August are shown below: A. Compute the following probabilities (show work): Assume the Weather in the Two Neighborhoods are Independent P (fog in the Sunset and sunshine in the Mission) B. C. Sunset neighborhood 40% chance of sunshine 40% chance of fog cover 20% chance of rain D. Mission Neighborhood 60% chance of sunshine 15% chance of fog cover 25% chance of rain P (Rain in the Sunset for three consecutive days) *assume independence P (fog in the Sunset or fog in the Mission) P (Fog in the Mission given that it is not Raining in the Mission)
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